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5) The probability mass function (pmf) of a discrete random variable X is given by p(x) 4-x = where x = 1, 2, and

5) The probability mass function (pmf) of a discrete random variable X is given by p(x) 4-x = where x = 1, 2, and 3. k a) Determine the value of the constant k so that the function p(x) satisfies the conditions of being a probability mass function. Show your work. b) Find the value of mean and standard deviation of X. c) What is the probability that X is at most 2?

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